Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2550w |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
1680 |
Modular degree for the optimal curve |
Δ |
2550000000 = 27 · 3 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -3 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-513,-3969] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:32:1] |
Generators of the group modulo torsion |
j |
38226865/6528 |
j-invariant |
L |
3.9205279594746 |
L(r)(E,1)/r! |
Ω |
1.0148317631161 |
Real period |
R |
0.18396330739668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20400dp1 81600ek1 7650bg1 2550l1 |
Quadratic twists by: -4 8 -3 5 |